arXiv:math/9903160math.LO
The surprise examination or unexpected hanging paradox
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Abstract
The apparently trifling unexpected hanging paradox has generated an enormous philosophical literature. We introduce the mathematician to this literature, paying special attention to aspects that involve nontrivial mathematics. This xxx version of the paper contains an exhaustive bibliography that the editors of the Monthly deemed too lengthy to publish. The bibliography will be continually updated and readers are encouraged to inform the author of any omissions that they discover.
I would encourage anyone who's intrigued by this paradox to read Timothy Chow's comprehensive paper on the subject (https://arxiv.org/abs/math/9903160). In particular, he discusses what he calls the meta-paradox: > The meta-paradox consists of two seemingly incompatible facts.…
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